Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440a |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-287778865920 = -1 · 28 · 3 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,-73275] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1210:1] |
Generators of the group modulo torsion |
j |
-2458624/195 |
j-invariant |
L |
5.3005946746955 |
L(r)(E,1)/r! |
Ω |
0.31591241868295 |
Real period |
R |
4.1946710239835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76440bl1 |
Quadratic twists by: -7 |